Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43602r |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-5463922877649654912 = -1 · 27 · 314 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-215732,118802549] |
[a1,a2,a3,a4,a6] |
Generators |
[421:9929:1] |
Generators of the group modulo torsion |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
8.5737728137441 |
L(r)(E,1)/r! |
Ω |
0.20914703398544 |
Real period |
R |
2.928142618946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258b2 |
Quadratic twists by: 13 |